Course Plan for Representation Theory of Associative Algebras

The following course plan is preliminary.

Lecture Date Topic Chapters Hand in Problem set
1 October 4 Introduction I.1
2 October 11 Algebras and modules I.1, I.2
3 October 18 Structure of modules I.3, I.4
4 October 25 Morita theory I.5, I.6
5 November 1 Path algebras of quivers II.1 1
6 November 8 The quiver of a finite dimensional algebra II.2, II.3
7 November 15 Quiver representations III.1, III.2 2
8 November 22 Dimension vectors and Euler characteristic III.2, III.3
9 November 29 Almost split sequences IV.1 3
10 December 6 The Auslander-Reiten translation IV.2
11 December 13 The Auslander-Reiten quiver IV.3, IV.4 4
12 December 20 Hereditary algebras VII.1, VII.2
13 January 17 Integral quadratic forms 1 VII.3 5
14 January 24 Integral quadratic forms 2 VII.4
15 January 31 Gabriel's Theorem VII.5 6